A Classification of First Order Differential Equations
Algebraic Geometry
2023-02-16 v1
Abstract
Let be a differential field of characteristic zero with an algebraically closed field of constants. In this article, we provide a classification of first order differential equations over and study the algebraic dependence of solutions of a given first order differential equation. Our results generalize parts of the work of Noordman et al. (MR4378074) and complements the work of Freitag et al. (MR4506775).
Cite
@article{arxiv.2302.07083,
title = {A Classification of First Order Differential Equations},
author = {Partha Kumbhakar and Ursashi Roy and Varadharaj R. Srinivasan},
journal= {arXiv preprint arXiv:2302.07083},
year = {2023}
}
Comments
20 pages, 3 figures